Floquet engineering of tight-binding Hamiltonians in momentum space lattices
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arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| author | Ronco, D. Arrouas, F. Ombredane, N. Flament, E. Levoy, Q. Peaudecerf, B. Guéry-Odelin, D. |
| author_facet | Ronco, D. Arrouas, F. Ombredane, N. Flament, E. Levoy, Q. Peaudecerf, B. Guéry-Odelin, D. |
| contents | Quantum simulation with ultracold atoms provides a versatile platform to emulate condensed-matter models. In particular, momentum-space lattices enable the realization of programmable tight-binding Hamiltonians. Here, we generalize this approach by exploiting quantum resonances of a periodically driven (shaken) rotor within the Floquet framework. Using first-order time-dependent perturbation theory, we derive analytical relations between the lattice modulation and the effective tight-binding parameters, and identify explicit solutions for several resonances. We further apply optimal-control techniques to enhance the multi-period Floquet fidelity and extend the accessible parameter regimes. Experimentally, we implement this scheme with a Bose-Einstein condensate of rubidium-87 atoms in a dynamically modulated optical lattice. We demonstrate the simulation of the Rice-Mele model, including band-structure measurements and topological edge states, as well as momentum Bloch oscillations, and superlattice configurations with controlled periodicity. Our results establish quantum resonances as a powerful resource for Floquet engineering of tight-binding models in momentum space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24722 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Floquet engineering of tight-binding Hamiltonians in momentum space lattices Ronco, D. Arrouas, F. Ombredane, N. Flament, E. Levoy, Q. Peaudecerf, B. Guéry-Odelin, D. Quantum Gases Quantum simulation with ultracold atoms provides a versatile platform to emulate condensed-matter models. In particular, momentum-space lattices enable the realization of programmable tight-binding Hamiltonians. Here, we generalize this approach by exploiting quantum resonances of a periodically driven (shaken) rotor within the Floquet framework. Using first-order time-dependent perturbation theory, we derive analytical relations between the lattice modulation and the effective tight-binding parameters, and identify explicit solutions for several resonances. We further apply optimal-control techniques to enhance the multi-period Floquet fidelity and extend the accessible parameter regimes. Experimentally, we implement this scheme with a Bose-Einstein condensate of rubidium-87 atoms in a dynamically modulated optical lattice. We demonstrate the simulation of the Rice-Mele model, including band-structure measurements and topological edge states, as well as momentum Bloch oscillations, and superlattice configurations with controlled periodicity. Our results establish quantum resonances as a powerful resource for Floquet engineering of tight-binding models in momentum space. |
| title | Floquet engineering of tight-binding Hamiltonians in momentum space lattices |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2604.24722 |